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The number 274

274 is a composite number with 4 divisors. Its prime factorisation is 2 × 137. Divisors (4): 1, 2, 137, 274.

Number

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How to work it out

  1. 1

    What is special about 274: a semiprime: 2 × 137, the product of two primes.

  2. 2

    274 is composite. Its prime factorisation is

    274=2×137274 = 2 \times 137
  3. 3

    The divisors add up to 414; without 274 itself that is 140, so 274 is deficient (140 is less than 274). Euler's totient φ(274) = 136 numbers up to 274 share no factor with it.

  4. 4

    The digits of 274 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.

LaTeX source of the formulas on this page
\[ 274 = 2 \times 137 \]

274 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors414
Euler totient φ(n)136
Square75076
Cube20570824
Square root16.552945
Digit sum / digital root13 / 4
Collatz steps to 191
Scientific notation2.74 × 10210^{2}

274 in other forms

FormValue
In wordstwo hundred and seventy-four
Roman numeralsCCLXXIV
Binary (base 2)100010010
Octal (base 8)422
Hexadecimal (base 16)112
Base 3101011
As time274 seconds = 4 min 34 s

Is 274 divisible by 2 to 12?

DivisorAnswerRule
2Yes (274 ÷ 2 = 137)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 274 a prime number?

No. 274 = 2 × 137, so it is divisible by 2.

What are the factors of 274?

1, 2, 137, 274.

What is 274 in binary?

100010010 (hexadecimal 112, octal 422).

What is the square root of 274?

About 16.5529.

What is 274 in Roman numerals?

CCLXXIV.

Is 274 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 274?

274 is a semiprime: 2 × 137, the product of two primes.

All about 274

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    274: is it prime? Factors, square root, binary, Roman numeral | WordGPT